Szymon Wąsowicz's homepage

Szymon Wąsowicz

List of publications

The list below contains the published or accepted papers.

A sandwich theorem and Hyers–Ulam stability of affine functions
(joint with K. Nikodem), Aequationes Math. 49 (1995), 160–164
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On affine selections of set–valued functions
J. Appl. Anal. 1 (1995), 173–179
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Polynomial selections and separation by polynomials
Studia Math. 120 (1996), 75–82
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Abstract separation theorems of Rodé type and their applications
(joint with K. Nikodem and Zs. Páles), Ann. Polon. Math. 72 (1999), 207–217
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Multifunctions with selections of convex and concave type
(joint with K. Nikodem and Zs. Páles), Math. Pannon. 11 (2000), 249–260
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A note on separation by subadditive and sublinear functions
(joint with K. Nikodem and E. Sadowska), Ann. Math. Sil. 14 (2000), 33–39
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Haar spaces and polynomial selections
(joint with M. Balaj), Math. Pannon. 14 (2003), 63–70
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Some inequalities connected with an approximate integration
J. Inequal. Pure Appl. Math. (JIPAM) 6 (2005), Article 47 (electronic)
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On error bounds for Gauss–Legendre and Lobatto quadrature rules
J. Inequal. Pure Appl. Math. (JIPAM) 7 (2006), Article 84 (electronic)
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Some properties of generalized higher–order convexity
Publ. Math. Debrecen 68 (2006), 171–182
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Inequalities between the quadrature operators and error bounds of quadrature rules,
J. Inequal. Pure Appl. Math. (JIPAM) 8 (2007), Article 42 (electronic)
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Support–type properties of convex functions of higher order and Hadamard–type inequalities, J. Math. Anal. Appl. 332 (2007), 1229–1241
DOI 10.1016/j.jmaa.2009.10.070
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A new proof of some inequality connected with quadratures
J. Inequal. Pure Appl. Math. (JIPAM) 9 (2008), Article 7 (electronic)
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On quadrature rules, inequalities and error bounds
J. Inequal. Pure Appl. Math. (JIPAM) 9 (2008), Article 36 (electronic)
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Hermite–Hadamard–type inequalities in the approximate integration
Math. Inequal. Appl. 11 (2008), 693–700
DOI 10.7153/mia-11-59
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On some equations stemming from quadrature rules
(joint with B. Koclęga–Kulpa and T. Szostok),
Ann. Univ. Pedagog. Crac. Stud. Math. 8 (2009), 19–30
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On functional equations connected with quadrature rules,
(joint with B. Koclęga–Kulpa and T. Szostok),
Georgian Math. J. 16 (2009), 725–736
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Some functional equations characterizing polynomials,
(joint with B. Koclęga–Kulpa and T. Szostok),
Tatra Mt. Math. Publ. 44 (2009), 27–40
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Support–type properties of generalized convex functions
J. Math. Anal. Appl. 365 (2010), 415–427
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On some extremalities in the approximate integration
Math. Inequal. Appl. 13 (2010), 165–174
DOI 10.7153/mia-13-13
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On the stability of the equation stemming from Lagrange MVT
(joint with T. Szostok),
DOI 10.1016/j.aml.2010.11.009
Appl. Math. Lett. 24 (2011), 541–544
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Probabilistic characterization of strong convexity
(joint with z T. Rajba),
Opuscula Math. 31 (2011), 97–103
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Functions generating strongly Schur–convex sums
(joint with K. Nikodeme and T. Rajba),
C. Bandle et al. (eds.), Inequalities and Applications 2010,
International Series of Numerical Mathematics 161, pp. 175–182,
© Springer Basel 2012. DOI 10.1007/978-3-0348-0249-9_13
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On some inequality of Hermite–Hadamard type
(joint with A. Witkowski),
Opuscula Math. 32 (2012), 591–600
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Hermite–Hadamard inequalities for convex set valued functions
(joint with F. C. Mitroi and K. Nikodem),
Demonstratio Math. 46 (2013), 655–662
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On the classes of higher–order Jensen–convex functions and Wright–convex functions
(joint with K. Nikodem and T. Rajba),
J. Math. Anal. Appl. 396 (2012), 261–269
DOI 10.1016/j.jmaa.2012.06.028
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Extremal measures with prescribed moments
(joint with T. Rajba),
J. Math. Anal. Appl. 423 (2015), 1838–1848
DOI 10.1016/j.jmaa.2014.11.001
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Hermite–Hadamard type inequalities for Wright-convex functions of several variables
(joint with D. Śliwińska),
Opuscula Math. 35 (2015), 411–419
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